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Finding the Third Proportional to 146,448 and 304,479

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Solution

The third proportional to 146,448 and 304,479 is: 633,040.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,448 : 304,479 = 304,479 : x
  2. Step 2: Convert to fraction form
    146,448/304,479 = 304,479/x
  3. Step 3: Cross multiply
    146,448x = 304,479 × 304,479
  4. Step 4: Simplify right side
    146,448x = 92,707,461,441
  5. Step 5: Solve for x
    x = 92,707,461,441/146,448
  6. Step 6: Final answer
    x = 633,040.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.